//MIT License
//
//Copyright (c) 2017 tvelliott
//
//Permission is hereby granted, free of charge, to any person obtaining a copy
//of this software and associated documentation files (the "Software"), to deal
//in the Software without restriction, including without limitation the rights
//to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
//copies of the Software, and to permit persons to whom the Software is
//furnished to do so, subject to the following conditions:
//
//The above copyright notice and this permission notice shall be included in all
//copies or substantial portions of the Software.
//
//THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
//IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
//FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
//AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
//LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
//OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
//SOFTWARE.

//octave> win=blackmanharris(512)
const float fft_win_512[] = {
6.000000000000102e-05, 6.213934408222897e-05, 6.856681787752866e-05,
7.931074596204991e-05, 9.441833571863234e-05, 0.0001139556769343061,
0.0001380077411611315, 0.000166678380766937, 0.0002000903275801384,
0.0002383851910115475, 0.000281723455517368, 0.0003302844772450492,
0.0003842664796848607, 0.0004438865481300423, 0.0005093806227297864,
0.000581003489899104, 0.0006590287718329872, 0.0007437489138522185,
0.0008354751692946742, 0.0009345375816437341, 0.001041284963575627,
0.001156084872586477, 0.001279323582849629, 0.001411406052936706,
0.001552755889024511, 0.001703815303196113, 0.001865045066434716,
0.002036924455895553, 0.002219951196033854, 0.002414641393155894,
0.002621529462953552, 0.002841168050574135, 0.003074127942772893,
0.003320997971688778, 0.003582384909780979, 0.003858913355460197,
0.004151225608946042, 0.004459981537882324, 0.004785858432239458,
0.005129550848037455, 0.005491770439421704, 0.005873245778630113,
0.006274722163391908, 0.006696961411304985, 0.007140741640745144,
0.007606857037867643, 0.008096117609270552, 0.008609348919898117,
0.0091473918157748, 0.009711102131170206, 0.01030135037981053,
0.01091902142976361, 0.01156501416164109, 0.01224024110977683,
0.01294562808605773, 0.01368211378610016, 0.01445064937748513,
0.01525219806978507, 0.01608773466613484, 0.01695824509612209,
0.01786472592979389, 0.01880818387260105, 0.01978963524112361,
0.02081010541944752, 0.021870628296088, 0.02297224568137993,
0.02411600670528423, 0.02530296719558638, 0.02653418903649028,
0.02781073950764109, 0.02913369060363918, 0.03050411833413602,
0.03192310200463523, 0.03339172347815117, 0.03491106641790783,
0.03648221551129346, 0.03810625567531704, 0.0397842712438445,
0.04151734513692379, 0.04330655801254248, 0.04515298740118862,
0.04705770682362405, 0.04902178489230578, 0.05104628439692593,
0.0531322613745733, 0.05528076416504718, 0.05749283245189191,
0.05976949628974543, 0.06211177511862995, 0.06452067676584253,
0.06699719643613271, 0.06954231569088458, 0.07215700141704971,
0.07484220478660573, 0.07759886020734365, 0.08042788426581383,
0.08333017466328781, 0.0863066091456182, 0.08935804442790432,
0.09248531511489591, 0.09568923261808965, 0.09897058407049691,
0.1023301312400812, 0.1057686094428848, 0.109286726456885, 0.1128851614376353,
0.1165645638367684, 0.1203255523244502, 0.1241687137168904, 0.128094601910031,
0.1321037368205419, 0.1361966033352681, 0.1403736502702819, 0.1446352893406995,
0.1489818941424328, 0.1534137991470493, 0.1579312987109195, 0.1625346460998344,
0.1672240525302745, 0.1719996862285164, 0.1768616715087569, 0.1818100878714365,
0.1868449691229334, 0.1919663025178032, 0.1971740279247206, 0.2024680370172789,
0.207848172490792, 0.2133142273062249, 0.2188659439623771, 0.2245030137974162,
0.2302250763208517, 0.2360317185770173, 0.2419224745411096, 0.2478968245488156,
0.2539541947605329, 0.2600939566611658, 0.266315426596458, 0.2726178653467904,
0.2790004777393505, 0.2854624122995471, 0.2920027609425132, 0.2986205587055129,
0.3053147835220294, 0.3120843560382786, 0.3189281394728614, 0.3258449395202241,
0.332833504298565, 0.339892524342781, 0.3470206326430134, 0.3542164047293072,
0.3614783588028562, 0.3688049559142685, 0.3761946001892341, 0.3836456391019419,
0.3911563637965406, 0.3987250094568966, 0.4063497557248497, 0.4140287271671274,
0.4217599937910253, 0.4295415716089117, 0.4373714232515726, 0.4452474586303541,
0.4531675356480179, 0.4611294609581707, 0.4691309907730801, 0.4771698317196361,
0.4852436417431742, 0.4933500310588119, 0.5014865631499187, 0.5096507558132672,
0.5178400822503832, 0.5260519722045445, 0.534283813142843, 0.5425329514826632,
0.5507966938618892, 0.5590723084520951, 0.5673570263139349, 0.5756480427938903,
0.5839425189614941, 0.5922375830860975, 0.6005303321522033, 0.60881783341234,
0.617097125976415, 0.6253652224364291, 0.6336191105254052, 0.6418557548093284,
0.6500720984108711, 0.6582650647636151, 0.6664315593954713, 0.6745684717399314,
0.6826726769737774, 0.6907410378798148, 0.6987704067331862, 0.7067576272097691,
0.7146995363151443, 0.7225929663325897, 0.7304347467885201, 0.7382217064337795,
0.745950675239155, 0.753618486403469, 0.7612219783725797, 0.768757996867602,
0.7762233969206412, 0.7836150449163226, 0.7909298206373717, 0.7981646193125087,
0.8053163536648846, 0.8123819559593027, 0.8193583800464387, 0.8262426034022888,
0.8330316291610558, 0.8397224881396896, 0.8463122408522958, 0.8527979795126331,
0.8591768300229152, 0.8654459539471515, 0.8716025504672551, 0.8776438583201697,
0.8835671577142656, 0.8893697722232837, 0.8950490706561041, 0.9006024689006487,
0.9060274317402408, 0.9113214746407585, 0.9164821655069547, 0.9215071264063294,
0.9263940352589753, 0.9311406274918349, 0.9357446976558519, 0.9402041010045128,
0.9445167550323262, 0.9486806409718058, 0.9526938052475719, 0.9565543608862116,
0.9602604888805928, 0.9638104395073471, 0.9672025335963014, 0.9704351637506612,
0.9735067955168077, 0.9764159685026067, 0.9791612974431829, 0.9817414732131541,
0.9841552637843741, 0.9864015151282806, 0.9884791520619993, 0.990387179037402,
0.9921246808723782, 0.9936908234236228, 0.9950848542003109, 0.9963061029180708,
0.9973539819927384, 0.9982279869734197, 0.9989276969144529, 0.9994527746859175,
0.9998029672223966, 0.9999781057097546, 0.9999781057097546, 0.9998029672223966,
0.9994527746859175, 0.9989276969144529, 0.9982279869734199, 0.9973539819927384,
0.9963061029180708, 0.995084854200311, 0.9936908234236228, 0.9921246808723782,
0.990387179037402, 0.9884791520619993, 0.9864015151282807, 0.984155263784374,
0.9817414732131542, 0.9791612974431829, 0.9764159685026068, 0.9735067955168079,
0.9704351637506613, 0.9672025335963015, 0.9638104395073471, 0.9602604888805929,
0.9565543608862117, 0.9526938052475719, 0.9486806409718058, 0.9445167550323263,
0.940204101004513, 0.935744697655852, 0.9311406274918351, 0.9263940352589753,
0.9215071264063296, 0.9164821655069548, 0.9113214746407586, 0.9060274317402408,
0.9006024689006488, 0.8950490706561041, 0.8893697722232838, 0.8835671577142661,
0.8776438583201696, 0.8716025504672553, 0.8654459539471515, 0.8591768300229154,
0.852797979512633, 0.8463122408522961, 0.8397224881396897, 0.833031629161056,
0.8262426034022889, 0.8193583800464387, 0.8123819559593032, 0.8053163536648849,
0.7981646193125089, 0.7909298206373718, 0.7836150449163227, 0.7762233969206416,
0.7687579968676023, 0.7612219783725799, 0.7536184864034691, 0.7459506752391551,
0.7382217064337799, 0.7304347467885203, 0.7225929663325898, 0.7146995363151446,
0.7067576272097692, 0.6987704067331864, 0.690741037879815, 0.6826726769737774,
0.6745684717399316, 0.6664315593954712, 0.6582650647636153, 0.6500720984108712,
0.6418557548093293, 0.6336191105254053, 0.6253652224364296, 0.6170971259764149,
0.6088178334123407, 0.6005303321522036, 0.5922375830860974, 0.583942518961494,
0.5756480427938903, 0.5673570263139353, 0.5590723084520952, 0.5507966938618895,
0.5425329514826636, 0.5342838131428435, 0.5260519722045446, 0.5178400822503835,
0.5096507558132677, 0.5014865631499186, 0.493350031058812, 0.4852436417431739,
0.4771698317196368, 0.4691309907730803, 0.4611294609581712, 0.4531675356480178,
0.4452474586303547, 0.4373714232515728, 0.429541571608912, 0.4217599937910251,
0.4140287271671275, 0.4063497557248499, 0.3987250094568964, 0.3911563637965412,
0.383645639101942, 0.3761946001892345, 0.3688049559142685, 0.3614783588028568,
0.3542164047293073, 0.3470206326430131, 0.3398925243427808, 0.3328335042985652,
0.3258449395202244, 0.3189281394728612, 0.3120843560382786, 0.3053147835220296,
0.2986205587055133, 0.2920027609425131, 0.2854624122995472, 0.2790004777393508,
0.2726178653467902, 0.266315426596458, 0.2600939566611656, 0.2539541947605332,
0.2478968245488156, 0.2419224745411097, 0.2360317185770171, 0.2302250763208522,
0.2245030137974163, 0.2188659439623773, 0.2133142273062252, 0.207848172490792,
0.2024680370172792, 0.1971740279247204, 0.1919663025178036, 0.1868449691229334,
0.1818100878714366, 0.1768616715087569, 0.1719996862285168, 0.1672240525302746,
0.1625346460998346, 0.1579312987109195, 0.1534137991470493, 0.148981894142433,
0.1446352893406994, 0.1403736502702819, 0.1361966033352682, 0.132103736820542,
0.128094601910031, 0.1241687137168905, 0.1203255523244503, 0.1165645638367687,
0.1128851614376353, 0.1092867264568848, 0.105768609442885, 0.1023301312400812,
0.098970584070497, 0.09568923261808976, 0.09248531511489606,
0.08935804442790439, 0.08630660914561834, 0.08333017466328796,
0.08042788426581378, 0.07759886020734363, 0.07484220478660564,
0.07215700141704988, 0.06954231569088461, 0.06699719643613275,
0.06452067676584246, 0.06211177511863011, 0.05976949628974548,
0.05749283245189202, 0.05528076416504711, 0.05313226137457328,
0.05104628439692599, 0.04902178489230571, 0.0470577068236241,
0.04515298740118867, 0.04330655801254254, 0.04151734513692382,
0.03978427124384451, 0.03810625567531714, 0.03648221551129355,
0.03491106641790785, 0.03339172347815122, 0.03192310200463527,
0.03050411833413599, 0.02913369060363922, 0.02781073950764116,
0.0265341890364903, 0.02530296719558637, 0.02411600670528428,
0.02297224568137993, 0.02187062829608807, 0.02081010541944748,
0.01978963524112357, 0.0188081838726011, 0.01786472592979389,
0.0169582450961221, 0.01608773466613485, 0.01525219806978509,
0.01445064937748515, 0.01368211378610019, 0.01294562808605773,
0.01224024110977683, 0.01156501416164108, 0.01091902142976357,
0.01030135037981055, 0.009711102131170213, 0.009147391815774814,
0.008609348919898152, 0.00809611760927057, 0.007606857037867654,
0.007140741640745146, 0.006696961411305008, 0.006274722163391921,
0.005873245778630119, 0.005491770439421673, 0.005129550848037428,
0.004785858432239467, 0.004459981537882349, 0.004151225608946088,
0.003858913355460233, 0.003582384909781022, 0.003320997971688743,
0.003074127942772892, 0.002841168050574112, 0.00262152946295356,
0.002414641393155841, 0.002219951196033887, 0.002036924455895555,
0.001865045066434755, 0.001703815303196105, 0.001552755889024497,
0.001411406052936721, 0.001279323582849613, 0.001156084872586461,
0.001041284963575639, 0.0009345375816437705, 0.0008354751692946985,
0.0007437489138522532, 0.0006590287718329542, 0.0005810034898990797,
0.0005093806227297725, 0.0004438865481300736, 0.0003842664796849006,
0.0003302844772451064, 0.0002817234555174044, 0.0002383851910115493,
0.0002000903275801436, 0.0001666783807669631, 0.0001380077411610985,
0.0001139556769343044, 9.441833571860805e-05, 7.931074596202563e-05,
6.85668178775304e-05, 6.213934408223071e-05, 6.000000000000102e-05
};
//octave> win=blackmanharris(1024)
const float fft_win_1024[] = {
6.000000000000102e-05, 6.053364357694151e-05, 6.213516210109085e-05,
6.480631895170418e-05, 6.855005309019772e-05, 7.337047905525522e-05,
7.927288695466425e-05, 8.62637424542366e-05, 9.435068676468331e-05,
0.0001035425366232544, 0.000113849284272844, 0.0001252820974350904,
0.0001378533192790219, 0.0001515764683824826, 0.0001664662386873864,
0.0001825384994463518, 0.0001998102951603214, 0.0002182998455062517,
0.0002380265452533326, 0.0002590109641663983, 0.0002812748468956714,
0.000304841112851225, 0.0003297338560601035, 0.0003559783450055344,
0.0003836010224457006, 0.0004126295052113201, 0.0004430925839787776,
0.0004750202230186205, 0.0005084435599162981, 0.0005433949052639064,
0.0005799077423197137, 0.0006180167266354435, 0.0006577576856464495,
0.0006991676182246387, 0.0007422846941909072, 0.0007871482537844914,
0.000833798807087666, 0.0008822780334021944, 0.0009326287805753852,
0.0009848950642738184, 0.001039122067200547, 0.001095356138254714,
0.001153644791629065, 0.00121403670584417, 0.001276581722715114,
0.001341330846248585, 0.001408336241466695, 0.00147765123315459,
0.001549330304529755, 0.001623429095828102, 0.001700004402805246,
0.001779114175148556, 0.001860817514797738, 0.00194517467416997,
0.002032247054286337, 0.002122097202796374, 0.002214788811897397,
0.002310386716144816, 0.002408956890150292, 0.002510566446164189,
0.002615283631538739, 0.002723177826068488, 0.002834319539204199,
0.002948780407137227, 0.003066633189750178, 0.003187951767430333,
0.003312811137743087, 0.003441287411959819, 0.003573457811439238,
0.003709400663856031, 0.003849195399275171, 0.003992922546066378,
0.004140663726657281, 0.004292501653119007, 0.004448520122583462,
0.004608804012486077, 0.00477343927563203, 0.004942512935081597,
0.005116113078851491, 0.00529432885442795, 0.005477250463088938,
0.005664969154031048, 0.00585757721829767, 0.006055167982505641,
0.006257835802366274, 0.006465676055997074, 0.006678785137021442,
0.006897260447452541, 0.007121200390357918, 0.00735070436230157,
0.007585872745560643, 0.007826806900112417, 0.00807360915538975,
0.008326382801801056, 0.008585232082010782, 0.008850262181979901,
0.009121579221760391, 0.009399290246042854, 0.00968350321445337,
0.009974326991597155, 0.01027187133684555, 0.010576246893865,
0.01088756517988332, 0.0112059385746926, 0.01153148030938469,
0.01186430445481797, 0.01220452590981206, 0.01255226038906826,
0.01290762441081439, 0.01327073528417053, 0.01364171109623399,
0.01402067069888223, 0.01440773369529055, 0.0148030204261634,
0.01520665195567731, 0.01561875005713405, 0.01603943719832168,
0.01646883652658256, 0.01690707185358675, 0.01735426763980918,
0.01781054897870978, 0.01827604158061494, 0.01875087175629938,
0.01923516640026775, 0.01972905297373454, 0.02023265948730204,
0.02074611448333526, 0.02126954701803362, 0.02180308664319868,
0.02234686338769724, 0.02290100773862082, 0.02346565062213945,
0.02404092338405145, 0.02462695777002851, 0.02522388590555585,
0.02583184027556898, 0.02645095370378599, 0.02708135933173733,
0.02772319059749227, 0.0283765812140843, 0.02904166514763488,
0.02971857659517795, 0.03040744996218479, 0.03110841983979196,
0.03182162098173268, 0.03254718828097329, 0.03328525674605651,
0.03403596147715369, 0.03479943764182637, 0.03557582045050134,
0.03636524513165897, 0.03716784690673875, 0.0379837609647635,
0.03881312243668499, 0.03965606636945297, 0.04051272769981164,
0.04138324122782504, 0.0422677415901346, 0.04316636323295241,
0.04407924038479316, 0.04500650702894771, 0.04594829687570245,
0.04690474333430706, 0.04787597948469532, 0.04886213804896251,
0.04986335136260226, 0.05087975134550919, 0.05191146947274878,
0.05295863674510148, 0.05402138365938309, 0.05509984017854738,
0.05619413570157572, 0.05730439903315727, 0.05843075835316618,
0.05957334118593946, 0.06073227436936134, 0.06190768402376001,
0.06309969552062016, 0.06430843345111927, 0.06553402159449136,
0.06677658288622455, 0.06803623938609892, 0.06931311224606916,
0.07060732167799957, 0.07191898692125648, 0.07324822621016505,
0.07459515674133629, 0.07595989464087136, 0.07734255493144863,
0.07874325149930222, 0.08016209706109625, 0.08159920313070371,
0.08305467998589602, 0.08452863663495021, 0.08602118078318177,
0.08753241879940923, 0.0890624556823589, 0.09061139502701662,
0.09217933899093396, 0.09376638826049695, 0.09537264201716489,
0.09699819790368668, 0.09864315199030287, 0.1003075987409411,
0.1019916309794136, 0.1036953398556237, 0.1054188148117908, 0.1071621435487008,
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0.0005433949052639515, 0.000508443559916319, 0.0004750202230186032,
0.0004430925839787568, 0.0004126295052113513, 0.0003836010224457283,
0.0003559783450054754, 0.0003297338560600705, 0.0003048411128512337,
0.0002812748468956783, 0.0002590109641664, 0.0002380265452533465,
0.0002182998455062223, 0.0001998102951603024, 0.0001825384994463761,
0.0001664662386873621, 0.0001515764683824566, 0.0001378533192789941,
0.0001252820974350904, 0.0001138492842728423, 0.0001035425366232579,
9.435068676468678e-05, 8.626374245423833e-05, 7.927288695463823e-05,
7.337047905522746e-05, 6.855005309019772e-05, 6.480631895170591e-05,
6.213516210108912e-05, 6.053364357694151e-05, 6.000000000000102e-05
};
//octave> win=blackmanharris(2048)
const float fft_win_2048[]={
6.000000000000102e-05, 6.013327140009725e-05, 6.053312226564009e-05,
6.119966259266266e-05, 6.213307570803947e-05, 6.333361826896255e-05,
6.480162026315829e-05, 6.65374850087018e-05, 6.854168915380182e-05,
7.081478267646074e-05, 7.335738888426813e-05, 7.617020441445105e-05,
7.925399923278641e-05, 8.260961663384206e-05, 8.623797324012507e-05,
9.014005900192211e-05, 9.431693719630721e-05, 9.876974442693531e-05,
0.0001034996906229199, 0.0001085080590384827, 0.0001137962062517581,
0.0001193655621639055, 0.0001252176299982571, 0.0001313539862989807,
0.0001377762809300423, 0.0001444862370736169, 0.0001514856512288831,
0.0001587763932102536, 0.0001663604061456925, 0.0001742397064749216,
0.0001824163839473491, 0.000190892601619936, 0.0001996705958548749,
0.0002087526763170158, 0.0002181412259711236, 0.0002278387010792755,
0.0002378476311972553, 0.0002481706191717857, 0.0002588103411366449,
0.0002697695465089019, 0.0002810510579849892, 0.000292657771536517,
0.0003045926564051882, 0.0003168587550985945, 0.0003294591833847942,
0.0003423971302866716, 0.0003556758580762487, 0.000369298702268768,
0.0003832690716159253, 0.0003975904480992432, 0.0004122663869225787,
0.0004273005165047403, 0.0004426965384714057, 0.0004584582276463793,
0.0004745894320432389, 0.0004910940728554171, 0.0005079761444466927,
0.0005252397143408038, 0.0005428889232105948, 0.0005609279848665417,
0.0005793611862451552, 0.0005981928873963309, 0.000617427521470388,
0.0006370695947043748, 0.0006571236864080249, 0.000677594448948592,
0.0006984866077358425, 0.0007198049612054686, 0.0007415543808023152,
0.0007637398109630895, 0.0007863662690976939, 0.0008094388455706335,
0.0008329627036808614, 0.000856943079641341, 0.0008813852825579182,
0.0009062946944067649, 0.0009316767700115018, 0.0009575370370194566,
0.0009838810958764863, 0.001010714619801659, 0.00103804335476052,
0.001065873119437294, 0.001094209805206669, 0.00112305937610393,
0.001152427868794563, 0.00118232139254254, 0.001212746129177876,
0.001243708333062419, 0.001275214331055412, 0.001307270522477118,
0.001339883379071833, 0.001373059444969623, 0.001406805336646352,
0.001441127742883296, 0.001476033424724926, 0.001511529215435562,
0.001547622020454602, 0.001584318817350923, 0.001621626655774987,
0.001659552657410692, 0.00169810401592493, 0.001737287996916118,
0.001777111937861136, 0.00181758324806102, 0.001858709408584672,
0.001900497972211673, 0.001942956563372819, 0.001986092878089832,
0.002029914683912826, 0.002074429819856317, 0.002119646196333833,
0.002165571795090397, 0.002212214669133876, 0.002259582942663726,
0.002307684810998831, 0.002356528540503072, 0.002406122468509024,
0.002456475003240146, 0.002507594623730806, 0.002559489879744331,
0.002612169391689465, 0.002665641850534467, 0.002719916017719519,
0.002775000725066925, 0.002830904874689348, 0.002887637438895938,
0.002945207460096446, 0.003003624050702817, 0.003062896393029364,
0.003123033739190042, 0.003184045410993731, 0.00324594079983755,
0.003308729366597356, 0.003372420641516605, 0.003437024224092074,
0.003502549782958197, 0.003569007055768054, 0.003636405849072544,
0.003704756038196953, 0.003774067567115067, 0.003844350448320671,
0.003915614762696638, 0.003987870659381576, 0.004061128355633411,
0.004135398136690984, 0.004210690355632701, 0.004287015433232172,
0.00436438385781201, 0.004442806185093966, 0.004522293038046725,
0.004602855106731443, 0.004684503148143324, 0.004767247986051115,
0.004851100510834108, 0.004936071679315023, 0.005022172514591046,
0.005109414105861517, 0.005197807608252813, 0.005287364242639658,
0.00537809529546429, 0.005470012118551736, 0.005563126128922563,
0.005657448808602246, 0.005752991704427432, 0.005849766427849037,
0.005947784654732217, 0.006047058125152953, 0.006147598643191471,
0.006249418076722548, 0.006352528357202233, 0.006456941479451337,
0.006562669501435615, 0.006669724544042602, 0.006778118790854688,
0.006887864487919474, 0.006998973943515797, 0.007111459527916903,
0.007225333673149934, 0.007340608872751648, 0.007457297681520906,
0.007575412715267264, 0.007694966650556371, 0.007815972224451209,
0.007938442234249877, 0.008062389537220053, 0.008187827050329064,
0.008314767749970692, 0.008443224671688159, 0.008573210909893162,
0.008704739617581388, 0.008837824006043653, 0.00897247734457386,
0.009108712960172611, 0.009246544237247033, 0.009385984617306954,
0.009527047598656574, 0.009669746736082689, 0.009814095640538438,
0.009960107978823959, 0.01010779747326163, 0.01025717790136847,
0.01040826309552382, 0.01056106694263317, 0.01071560338378785,
0.01087188641392043, 0.01102993008145622, 0.01118974848796027,
0.01135135578778065, 0.01151476618768692, 0.01167999394650497,
0.01184705337474698, 0.01201595883423787, 0.01218672473773669,
0.01235936554855428, 0.01253389578016629, 0.01271032999582192,
0.01288868280814865, 0.01306896887875177, 0.01325120291781056,
0.01343539968366945, 0.01362157398242458, 0.01380974066750646,
0.01399991463925805, 0.01419211084450796, 0.01438634427613979,
0.01458262997265644, 0.01478098301774018, 0.01498141853980837,
0.01518395171156423, 0.01538859774954331, 0.01559537191365544,
0.01580428950672204, 0.01601536587400889, 0.01622861640275416,
0.01644405652169215, 0.01666170170057206, 0.0168815674496725,
0.0171036693193108, 0.01732802289934857, 0.01755464381869172,
0.01778354774478638, 0.01801475038310991, 0.01824826747665729,
0.01848411480542286, 0.01872230818587747, 0.01896286347044056,
0.01920579654694791, 0.01945112333811469, 0.01969885980099364,
0.01994902192642835, 0.02020162573850227, 0.02045668729398267,
0.02071422268176002, 0.02097424802228236, 0.02123677946698548,
0.02150183319771769, 0.02176942542616046, 0.02203957239324391,
0.02231229036855749, 0.0225875956497567, 0.02286550456196357,
0.02314603345716428, 0.02342919871360014, 0.02371501673515548,
0.02400350395073955, 0.02429467681366425, 0.02458855180101744,
0.02488514541303033, 0.02518447417244177, 0.02548655462385626,
0.02579140333309851, 0.02609903688656215, 0.02640947189055449,
0.02672272497063655, 0.02703881277095775, 0.02735775195358666,
0.02767955919783635, 0.02800425119958579, 0.02833184467059598,
0.02866235633782143, 0.0289958029427177, 0.02933220124054296,
0.02967156799965635, 0.0300139200008107, 0.03035927403644094,
0.03070764690994809, 0.03105905543497829, 0.03141351643469727,
0.03177104674106083, 0.03213166319407974, 0.03249538264108097,
0.032862221935964, 0.03323219793845241, 0.03360532751334147,
0.03398162752974089, 0.0343611148603128, 0.03474380638050608,
0.03512971896778538, 0.03551886950085624, 0.03591127485888563,
0.03630695192071806, 0.03670591756408734, 0.03710818866482373,
0.03751378209605759, 0.0379227147274174, 0.03833500342422461,
0.03875066504668355, 0.03916971644906755, 0.03959217447890033,
0.04001805597613331, 0.04044737777231929, 0.04088015668978104,
0.04131640954077623, 0.04175615312665835, 0.04219940423703335,
0.04264617964891221, 0.0430964961258593, 0.04355037041713698,
0.04400781925684641, 0.0444688593630635, 0.044933507436972,
0.04540178016199202, 0.04587369420290458, 0.04634926620497308,
0.04682851279305966, 0.04731145057073924, 0.04779809611940859,
0.04828846599739228, 0.04878257673904448, 0.04928044485384808,
0.04978208682550853, 0.05028751911104583, 0.05079675813988157,
0.05130982031292305, 0.051826722001644, 0.05234747954716144,
0.05287210925930957, 0.05340062741570945, 0.05393305026083639,
0.05446939400508306, 0.05500967482382006, 0.05555390885645251,
0.05610211220547409, 0.05665430093551729, 0.0572104910724011,
0.05777069860217524, 0.05833493947016121, 0.05890322957999097,
0.05947558479264144, 0.06005202092546764, 0.06063255375123146,
0.06121719899712859, 0.06180597234381195, 0.06239888942441277,
0.06299596582355893, 0.06359721707639023, 0.06420265866757163,
0.06481230603030327, 0.06542617454532822, 0.06604427953993788,
0.06666663628697483, 0.06729326000383287, 0.06792416585145541,
0.0685593689333307, 0.0691988842944857, 0.06984272692047708,
0.07049091173638004, 0.07114345360577576, 0.07180036732973524,
0.07246166764580325, 0.07312736922697818, 0.07379748668069151,
0.07447203454778445, 0.07515102730148333, 0.07583447934637287,
0.07652240501736797, 0.07721481857868383, 0.07791173422280395,
0.07861316606944746, 0.079319128164534, 0.08002963447914814,
0.08074469890850121, 0.08146433527089308, 0.08218855730667139,
0.08291737867719075, 0.08365081296376974, 0.08438887366664728,
0.08513157420393838, 0.08587892791058738, 0.08663094803732239,
0.08738764774960679, 0.08814904012659136, 0.08891513816006463,
0.08968595475340335, 0.09046150272052146, 0.09124179478481952,
0.09202684357813229, 0.09281666163967703, 0.09361126141500051,
0.09441065525492633, 0.09521485541450159, 0.09602387405194306,
0.09683772322758397, 0.09765641490281965, 0.09847996093905426,
0.09930837309664639, 0.1001416630338559, 0.1009798423057896,
0.1018229223633481, 0.1026709145521732, 0.1035238301115941, 0.1043816801735755,
0.1052444757616656, 0.1061122277899446, 0.1069849470619735, 0.1078626442697446,
0.108745329992631, 0.1096330146963388, 0.1105257087318586, 0.1114234223344189,
0.11232616562244, 0.1132339485964888, 0.1141467811382356, 0.1150646730094107,
0.1159876338507637, 0.1169156731810228, 0.1178488003958568, 0.1187870247668373,
0.1197303554404029, 0.1206788014368259, 0.1216323716491789, 0.1225910748423046,
0.1235549196517864, 0.1245239145829219, 0.1254980680096971, 0.1264773881737639,
0.1274618831834181, 0.1284515610125818, 0.129446429499785, 0.1304464963471527,
0.1314517691193917, 0.1324622552427813, 0.1334779620041664, 0.1344988965499521,
0.1355250658851025, 0.1365564768721406, 0.1375931362301528, 0.1386350505337938,
0.139682226212297, 0.1407346695484862, 0.1417923866777908, 0.1428553835872646,
0.1439236661146065, 0.1449972399471862, 0.1460761106210722, 0.1471602835200629,
0.1482497638747221, 0.1493445567614178, 0.1504446671013636, 0.151550099659666,
0.1526608590443724, 0.1537769497055261, 0.1548983759342233, 0.156025141861674,
0.1571572514582684, 0.1582947085326456, 0.1594375167307683, 0.1605856795350001,
0.1617392002631884, 0.162898082067751, 0.1640623279347677, 0.1652319406830756,
0.1664069229633703, 0.1675872772573106, 0.1687730058766284, 0.1699641109622441,
0.1711605944833853, 0.1723624582367128, 0.1735697038454489, 0.1747823327585134,
0.1760003462496629, 0.1772237454166368, 0.1784525311803074, 0.1796867042838358,
0.1809262652918344, 0.1821712145895329, 0.1834215523819517, 0.18467727869308,
0.1859383933650599, 0.1872048960573763, 0.1884767862460536, 0.189754063222856,
0.1910367260944969, 0.1923247737818518, 0.193618205019179, 0.194917018353346,
0.1962212121430617, 0.1975307845581164, 0.1988457335786261, 0.2001660569942858,
0.2014917524036271, 0.2028228172132845, 0.2041592486372665, 0.2055010436962345,
0.2068481992167894, 0.2082007118307628, 0.2095585779745179, 0.2109217938882551,
0.2122903556153261, 0.2136642590015547, 0.2150434996945658, 0.2164280731431194,
0.2178179745964551, 0.2192131991036408, 0.2206137415129319, 0.2220195964711364,
0.2234307584229873, 0.2248472216105243, 0.2262689800724812, 0.2276960276436839,
0.2291283579544531, 0.2305659644300174, 0.2320088402899333, 0.2334569785475134,
0.2349103720092633, 0.2363690132743256, 0.2378328947339338, 0.2393020085708725,
0.2407763467589479, 0.2422559010624652, 0.2437406630357163, 0.2452306240224735,
0.2467257751554948, 0.2482261073560348, 0.2497316113333676, 0.2512422775843157,
0.2527580963927891, 0.2542790578293331, 0.2558051517506855, 0.257336367799342,
0.2588726954031305, 0.2604141237747966, 0.261960641911595, 0.2635122385948935,
0.2650689023897838, 0.2666306216447026, 0.2681973844910628, 0.2697691788428927,
0.2713459923964858, 0.2729278126300596, 0.2745146268034248, 0.2761064219576629,
0.2777031849148147, 0.2793049022775773, 0.2809115604290131, 0.2825231455322658,
0.2841396435302886, 0.2857610401455812, 0.2873873208799371, 0.2890184710142014,
0.2906544756080374, 0.2922953194997054, 0.293940987305849, 0.2955914634212947,
0.2972467320188588, 0.2989067770491674, 0.3005715822404843, 0.3022411310985503,
0.3039154069064346, 0.305594392724393, 0.3072780713897408, 0.3089664255167324,
0.3106594374964547, 0.3123570894967291, 0.3140593634620255, 0.3157662411133852,
0.3174777039483578, 0.3191937332409445, 0.3209143100415561, 0.3226394151769807,
0.3243690292503605, 0.3261031326411828, 0.3278417055052782, 0.3295847277748343,
0.3313321791584152, 0.3330840391409975, 0.3348402869840126, 0.3366009017254037,
0.3383658621796917, 0.3401351469380535, 0.3419087343684116, 0.3436866026155333,
0.3454687296011438, 0.3472550930240481, 0.3490456703602662, 0.3508404388631779,
0.3526393755636811, 0.3544424572703588, 0.3562496605696602, 0.3580609618260919,
0.3598763371824199, 0.3616957625598853, 0.3635192136584289, 0.3653466659569296,
0.3671780947134526, 0.3690134749655109, 0.3708527815303362, 0.3726959890051638,
0.3745430717675269, 0.3763940039755653, 0.3782487595683424, 0.3801073122661763,
0.381969635570982, 0.3838357027666249, 0.3857054869192868, 0.3875789608778424,
0.3894560972742488, 0.3913368685239458, 0.393221246826269, 0.3951092041648739,
0.3970007123081707, 0.3988957428097746, 0.4007942670089626, 0.4026962560311474,
0.4046016807883586, 0.4065105119797393, 0.4084227200920519, 0.4103382754001971,
0.4122571479677443, 0.4141793076474745, 0.4161047240819334, 0.418033366703998,
0.4199652047374541, 0.4219002071975859, 0.4238383428917779, 0.425779580420127,
0.4277238881760693, 0.4296712343470145, 0.4316215869149969, 0.4335749136573343,
0.4355311821473012, 0.4374903597548119, 0.4394524136471166, 0.4414173107895098,
0.4433850179460482, 0.4453555016802832, 0.4473287283560021, 0.4493046641379841,
0.4512832749927652, 0.4532645266894177, 0.4552483848003383, 0.4572348147020505,
0.4592237815760158, 0.4612152504094617, 0.4632091859962136, 0.4652055529375455,
0.4672043156430386, 0.4692054383314528, 0.4712088850316071, 0.4732146195832764,
0.4752226056380954, 0.4772328066604758, 0.4792451859285345, 0.4812597065350345,
0.4832763313883356, 0.4852950232133556, 0.4873157445525472, 0.4893384577668812,
0.4913631250368444, 0.4933897083634456, 0.4954181695692376, 0.497448470299345,
0.4994805720225077, 0.5015144360321317, 0.5035500234473551, 0.5055872952141207,
0.5076262121062636, 0.5096667347266081, 0.5117088235080746, 0.5137524387148003,
0.5157975404432658, 0.5178440886234398, 0.5198920430199279, 0.5219413632331357,
0.5239920087004416, 0.5260439386973806, 0.5280971123388397, 0.5301514885802613,
0.53220702621886, 0.5342636838948486, 0.5363214200926748, 0.5383801931422677,
0.5404399612202962, 0.5425006823514364, 0.5445623144096509, 0.5466248151194738,
0.5486881420573144, 0.5507522526527633, 0.55281710418991, 0.5548826538086755,
0.5569488585061483, 0.5590156751379354, 0.5610830604195189, 0.5631509709276281,
0.5652193631016151, 0.5672881932448443, 0.5693574175260904, 0.5714269919809459,
0.5734968725132393, 0.5755670148964595, 0.5776373747751938, 0.5797079076665739,
0.5817785689617293, 0.5838493139272516, 0.5859200977066699, 0.5879908753219308,
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